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Finding the Third Proportional to 27,798.25 and 59,120.25

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Solution

The third proportional to 27,798.25 and 59,120.25 is: 125,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.25 : 59,120.25 = 59,120.25 : x
  2. Step 2: Convert to fraction form
    27,798.25/59,120.25 = 59,120.25/x
  3. Step 3: Cross multiply
    27,798.25x = 59,120.25 × 59,120.25
  4. Step 4: Simplify right side
    27,798.25x = 3,495,203,960.06
  5. Step 5: Solve for x
    x = 3,495,203,960.06/27,798.25
  6. Step 6: Final answer
    x = 125,734.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.